Without an approved Advanced Parole, the TPS holder CANNOT go on a cruise. ALL cruises in the US leave US waters at some point during the trip (except for one specific Norwegian cruise in Hawaii that is only intra-island).
The travel document usually arrives within 150 days (sometimes longer) after submitting your application. You can't leave the country until you have your approved travel document in hand, so you should expect to spend the 3–5 months after submitting your green card application in the United States.
Generally, to travel outside the United States, a TPS applicant must apply for a travel document (advance parole; Form I-131) and receive advance parole BEFORE leaving. This process usually takes several months.
If you are a TPS beneficiary applying for a new travel authorization document, you should continue to use Form I-131, Application for Travel Document. If you have a pending Form I-131, you do not need to file a new application.
Individuals may request to travel to Venezuela if their TPS was approved. In general, TPS applicants and beneficiaries who wish to travel outside the United States should apply for a travel authorization with Form I-131, Application for Travel Documents, Parole Documents, and Arrival/Departure Records.
You will need to submit Form I-765 to request employment authorization, either at the same time as you apply for TPS or after. Can I travel if I have TPS? You can, but before you leave the U.S. you will need to submit Form I-131, the Application for Travel Document.
If you have TPS and wish to travel outside the United States, you must apply for travel authorization.
The travel document usually arrives within 150 days (sometimes longer) after submitting your application. You can't leave the country until you have your approved travel document in hand, so you should expect to spend the 3–5 months after submitting your green card application in the United States.